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85346148832 = 2571722412329
BaseRepresentation
bin100111101111100000…
…1101110000111100000
322011021220211120111021
41033133001232013200
52344242103230312
6103112452055224
76110646203230
oct1173701560740
9264256746437
1085346148832
11332167488aa
121465a304514
1380818cb9a9
1441b8bc3cc0
1523479ecc07
hex13df06e1e0

85346148832 has 48 divisors (see below), whose sum is σ = 203324657760. Its totient is φ = 34425335808.

The previous prime is 85346148817. The next prime is 85346148841. The reversal of 85346148832 is 23884164358.

It is a self number, because there is not a number n which added to its sum of digits gives 85346148832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11202357 + ... + 11209972.

It is an arithmetic number, because the mean of its divisors is an integer number (4235930370).

Almost surely, 285346148832 is an apocalyptic number.

It is an amenable number.

85346148832 is an abundant number, since it is smaller than the sum of its proper divisors (117978508928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85346148832 is a wasteful number, since it uses less digits than its factorization.

85346148832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22412363 (or 22412355 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 52.

The spelling of 85346148832 in words is "eighty-five billion, three hundred forty-six million, one hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 22412329 44824658 89649316 156886303 179298632 313772606 358597264 381009593 627545212 717194528 762019186 1255090424 1524038372 2510180848 2667067151 3048076744 5020361696 5334134302 6096153488 10668268604 12192306976 21336537208 42673074416 85346148832